Predictions of the Identical Elements (IE) model of arithmetic fact representation (Rickard, 2005; Rickard & Bourne, 1996) about transfer between arithmetic facts were tested in primary school children. The aim of the study was to test whether the IE model, constructed to explain adult performance, also applies to children. The IE model predicts…

This article makes a unique contribution to the literature on teachers' racialized sensemaking by proposing a framework of "ideology in pieces" that synthesizes Hall's (1982, 1996) theory of ideology and diSessa's (1993) theory of conceptual change. Hall's theory of ideology enables an examination of teachers' sensemaking as situated within a…

A group of 64 Israeli twelfth-grade students of two different ethnic backgrounds participated in an experiment exploring the effects of argumentative design and social identity on the learning of a charged, ethnicity-related historical controversy. Students were divided into two learning conditions: an argumentative-disciplinary condition and a…

Based on a three-year-long ethnography of the hobby of model rocketry, I present a practice-centered theory of interest relationships--that is, the pattern of long-term, self-motivated engagement in open-ended practices that has been theorized under the concept of "individual interests". In contrast to extant theories of individual interests, in…

In this article, the author wishes to emphasize two fundamental points related to theory that were significantly underplayed in Simon et al.'s "A Developing Approach to Studying Students' Learning through Their Mathematical Activity" (2010). The author believes these points are central to any study of children's mathematical learning. The first…

This article presents a way of studying the rationality that mathematics teachers utilize in managing the teaching of theorems in high-school geometry. More generally, the study illustrates how to elicit the rationality that guides teachers in handling the demands of teaching practice. In particular, it illustrates how problematic classroom…

A mother tracked her preschooler's number word development daily from 18 to 49 months of age. Naturalistic observations were supplemented with observations during structured (Kumon) training and microgenetic testing. The boy's everyday use of "two" did not become highly reliable and selective for 10 months (at 28 months), emerged later than that…

The purpose of this study was to examine how participation in an inquiry-based science program impacts kindergarten students' science learning and motivation. The study was implemented as part of a larger, federally funded research project, the Scientific Literacy Project or SLP (Mantzicopoulos, Patrick, & Samarapungavan, 2005). The study provides…

This study investigates children's metarepresentational competence with regard to listening to and making sense of simple sonic stimuli. Using diSessa's (2003) work on metarepresentational competence in mathematics and sciences as theoretical and empirical background, it aims to assess children's criteria for representational adequacy of graphical…

In an 8-month teaching experiment, I investigated how 4 sixth-grade students reasoned with reversible multiplicative relationships. One type of problem involved a known quantity that was a whole number multiple of an unknown quantity, and students were asked to determine the value of the unknown quantity. To solve these problems, students needed…

This study explored the extent to which parents were able to scaffold their children's Self-Regulated Learning (SRL) in the context of authentic academic tasks and attempted to identify specific dimensions within the parent-child interaction (socioemotional and instructional) that were related to children's SRL. Fifteen Chilean parents and their…

This study builds on two lines of research that have so far developed largely separately: the use of additive methods to solve proportional word problems and the use of proportional methods to solve additive word problems. We investigated the development with age of both kinds of erroneous solution methods. We gave a test containing missing-value…

Using data collected in 125 seventh-grade and 56 eighth-grade Texas classrooms in the context of the "Scaling Up SimCalc" research project in 2005-07, we examined relationships between teachers' mathematics knowledge, teachers' classroom decision making, and student achievement outcomes on topics of rate, proportionality, and linear…

The Teaching for Transformative Experiences in Science (TTES) model is designed to foster transformative experiences (e.g., experiences with science content involving the application of that content in ways that expand perception and value in everyday experience). This study presents a case study of a high school biology teacher learning to…

We discuss an emerging program of research on a particular aspect of mathematics learning, students' learning through their own mathematical activity as they engage in particular mathematical tasks. Prior research in mathematics education has characterized learning trajectories of students by specifying a series of conceptual steps through which…